Detail výsledku

Jordan curves in the digital plane

ŠLAPAL, J. Jordan curves in the digital plane. Bulletin of the Malaysian Mathematical Sciences Society, 2014, vol. 37, no. 2, p. 295-310. ISSN: 0126-6705.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
Abstrakt

We discuss certain interrelated pretopologies on the digital plane $\mathbb Z^2$
including the Khalimsky topology and several other topologies on
$\mathbb Z^2$. We present a digital analogue of the Jordan curve
theorem for each of the pretopologies to demonstrate that they can
provide background structures on $\mathbb Z^2$ convenient for the
study of geometric and topological properties of two-dimensional
digital images.

Klíčová slova

Digital plane, pretopology, undirected simple graph, digital simple closed curve, digital Jordan curve.

Rok
2014
Strany
295–310
Časopis
Bulletin of the Malaysian Mathematical Sciences Society, roč. 37, č. 2, ISSN 0126-6705
Místo
USM Penang
UT WoS
000334390400001
EID Scopus
2-s2.0-84897878274
BibTeX 
@article{BUT91784,
  author="Josef {Šlapal}",
  title="Jordan curves in the digital plane",
  journal="Bulletin of the Malaysian Mathematical Sciences Society",
  year="2014",
  volume="37",
  number="2",
  pages="295--310",
  issn="0126-6705"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru